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Finding the Fourth Proportional to 497,385.09, 745,453.71 and 212,741.64

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Solution

The fourth proportional to 497,385.09, 745,453.71 and 212,741.64 is: 318,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,385.09 : 745,453.71 = 212,741.64 : x
  2. Step 2: Convert to fraction form
    497,385.09/745,453.71 = 212,741.64/x
  3. Step 3: Cross multiply
    497,385.09x = 745,453.71 × 212,741.64
  4. Step 4: Simplify right side
    497,385.09x = 158,589,044,809.48
  5. Step 5: Solve for x
    x = 158,589,044,809.48/497,385.09
  6. Step 6: Final answer
    x = 318,845.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.